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Finding the Fourth Proportional to 3,747.78, 5,171.31 and 2,175.84

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Solution

The fourth proportional to 3,747.78, 5,171.31 and 2,175.84 is: 3,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.78 : 5,171.31 = 2,175.84 : x
  2. Step 2: Convert to fraction form
    3,747.78/5,171.31 = 2,175.84/x
  3. Step 3: Cross multiply
    3,747.78x = 5,171.31 × 2,175.84
  4. Step 4: Simplify right side
    3,747.78x = 11,251,943.15
  5. Step 5: Solve for x
    x = 11,251,943.15/3,747.78
  6. Step 6: Final answer
    x = 3,002.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.